On the reduction of some tiled orders. (Q2792871)
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scientific article; zbMATH DE number 6555331
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the reduction of some tiled orders. |
scientific article; zbMATH DE number 6555331 |
Statements
14 March 2016
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differentiation algorithms
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exponent matrices
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finite representation type
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lattices
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posets
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tiled orders
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On the reduction of some tiled orders. (English)
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The matrix reduction algorithm of Zavadskij and Kirichenko is used to answer a special question on representations of tiled orders in a \(3\times 3\) matrix ring. For a Morita reduced \(3\times 3\) tiled order \(\Lambda\) with further restrictions on the exponents, it is analysed when \(\Lambda\) can be reduced to a tiled order with exponents \(0,1\).
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